Clarysse F, Boulter C J
Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 1):031607. doi: 10.1103/PhysRevE.65.031607. Epub 2002 Feb 27.
In this paper we determine the wetting phase diagram for three-dimensional systems with short-range forces assuming the presence of a position-dependent stiffness contribution as recently proposed [M.E. Fisher and A.J. Jin, Phys. Rev. Lett. 69, 792 (1992)]. We predict a discontinuous transformation of the phase diagram immediately upon moving beyond the mean-field approximation. However, in contrast to Fisher and Jin we find that a renormalization group calculation yields fluctuation-induced second-order transitions rather than fluctuation-induced first-order ones. As a consequence, in all fluctuation regimes we recover the same qualitative phase diagram as predicted in the absence of a position-dependent stiffness coefficient. Furthermore, recent predictions for tricritical wetting behavior remain unaffected by the stiffness contribution.
在本文中，我们假设存在如最近所提出的与位置相关的刚度贡献[M.E.费舍尔和A.J.金，《物理评论快报》69, 792 (1992)]，确定了具有短程力的三维系统的润湿相图。我们预测，一旦超出平均场近似，相图会立即发生不连续转变。然而，与费舍尔和金不同的是，我们发现重整化群计算产生的是涨落诱导的二级转变，而非涨落诱导的一级转变。因此，在所有涨落区域，我们都得到了与不存在与位置相关的刚度系数时所预测的相同定性相图。此外，最近关于三临界润湿行为的预测不受刚度贡献的影响。
